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Finding the Fourth Proportional to 313,799.34, 470,688.06 and 100,564.11

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Solution

The fourth proportional to 313,799.34, 470,688.06 and 100,564.11 is: 150,842.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,799.34 : 470,688.06 = 100,564.11 : x
  2. Step 2: Convert to fraction form
    313,799.34/470,688.06 = 100,564.11/x
  3. Step 3: Cross multiply
    313,799.34x = 470,688.06 × 100,564.11
  4. Step 4: Simplify right side
    313,799.34x = 47,334,325,841.53
  5. Step 5: Solve for x
    x = 47,334,325,841.53/313,799.34
  6. Step 6: Final answer
    x = 150,842.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.